Author:
Nourdin Ivan,Lechiheb Atef,Zheng Guangqu,Haouala Ezzedine
Abstract
This paper deals with the asymptotic behavior of random oscillatory integrals in the presence of long-range dependence. As a byproduct, we solve the corrector problem in random homogenization of onedimensional elliptic equations with highly oscillatory random coefficients displaying long-range dependence, by proving convergence to stochastic integrals with respect to Hermite processes.
Publisher
Wydawnictwo Uniwersytetu Wroclawskiego
Subject
Statistics and Probability
Cited by
5 articles.
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